So that you have an equation = to 0 and can manipulate it in one variable.
Y = 2 X - 4
2X - 4 = 0
2X = 4
X = 2
check the graph and see that this is true. Works for all such functions.
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To find the x-intercept for 5x - 4y = 18, plug in a 0 for the y value and solve for x. 5x - 4(0) = 18 5x = 18 x = 18/5 or 3.6 The line will hit the x-axis at (3.6,0)
slope = 2-(-4)/-2-0 = 2+4/-2 = 6/-2 = - 3 So y=-3x+b Substitute the coordinate (0,-4) -4=-3(0)+b, -4=0+b, -4=b, y intercept is -4 Substitute that for b y=-3x-4 So the answer is y=-3x-4
For example, if you have (0, 6) or (3, 1). Which of them is a solution to y - 2x = 6? Check (0, 6): y - 2x = 6, substitute 0 for x, and 6 for y into the equation 6 - 2(0) =? 6 6 - 0 =? 6 6 = 6 True, then (0, 6) is a solution. Check (3, 1): y - 2x = 6, substitute 3 for x, and 1 for y into the equation 1 - 2(3) =? 6 1 - 6 =? 6 -5 = 6 False, then (3, 1) is not a solution.
The y-intercept is the value of a function f when x is equal to zero. So, substitute 0 for x into the equation and find the value of y.
When finding the y-intercept, plug in x=0 y = 4x + 2 y = 4(0) + 2 y = 2 So your intercept is (0,2)